Chaos Solitons & Fractals最新文献

{"title":"Light-powered self-swing of a bistable magnetic pendulum utilizing liquid crystal elastomer fibers","authors":"Jun Zhao ,&nbsp;Xincheng Wang ,&nbsp;Yunlong Qiu ,&nbsp;Hongbin Chen ,&nbsp;Kai Li","doi":"10.1016/j.chaos.2025.116565","DOIUrl":"10.1016/j.chaos.2025.116565","url":null,"abstract":"<div><div>Light-powered self-oscillation allows for the direct absorption of heat from ambient illumination to maintain its movement, making it a valuable technology for sensors, energy harvesters and soft robots. However, achieving self-oscillation in pendulum systems remains experimentally challenging. To overcome this limitation, we experimentally proposes a bistable magnetic pendulum that utilizes magnetic forces to provide a lateral pulling force, where the interplay of gravity and magnetic forces allows the pendulum to transition between the light zone and the dark zone, offering a novel mechanism for self-oscillation. Base on the light-responsive characteristic curve of LCE fiber calibrated experimentally, a theoretical model for the bistable magnetic pendulum is established to investigate the dynamic behaviors of the self-swing. Numerical calculation shows that the bistable magnetic pendulum has three modes motion: static, single-periodic self-swing, and complex-periodic self-swing, which aligns with the experimental observations. The self-swing is originated from alternating gravity-to-magnetic transition in dark and magnetic-to-gravity transition in light. Furthermore, the motion state, amplitude, and period of the LCE magnetic pendulum can be controlled by adjusting the light power, magnetization coefficient and thermal time ratio. The proposed bistable magnetic pendulum, with advantages such as not requiring rapid material response, a wide range of adjustable periods, and a simple structure, can provide potential applications in environmental monitoring, robotics, and energy harvesting.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116565"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Influence of next-nearest neighbor interactions on the dynamics of discrete energy transport within neuronal microtubules","authors":"R. Abouem A Ribama ,&nbsp;M. Youssoufa ,&nbsp;R.Y. Ondoua ,&nbsp;Z.I. Djoufack ,&nbsp;J.P. Nguenang","doi":"10.1016/j.chaos.2025.116538","DOIUrl":"10.1016/j.chaos.2025.116538","url":null,"abstract":"<div><div>In this study, we investigate the influence of next-nearest neighbor interactions or homodimer coupling on the dynamics of quantum breathers in neuronal microtubules (nMTs) using both analytical and numerical methods. From the classical model describing the dynamics of the microtubule using a Hamiltonian, we formulated its quantum equivalent through Bose operators. By employing Ehrenfest’s theorem and Glauber’s method of coherent states, we showed that nMT dynamics can be described by the discrete nonlinear Schrödinger equation (DNLSE). The analysis of modulational instability (MI) allowed us to define localization zones for breathers, revealing the impact of the second coupling term and well width on system’s behavior. We conducted numerical simulations to examine three scenarios based on homodimer and heterodimer coupling values in relation to breather propagation. We found that homodimer coupling enhances the temporal distribution of energy and extends breather localization towards the central site. Additionally, we observed that energy within nMTs is quantized with a linear profile, influenced by homodimer coupling. The interaction between two breathers indicated that this coupling also affects energy exchanges, impacting the collective dynamics of microtubules and potentially stabilizing or destabilizing configurations, thereby influencing neuronal responses. These findings enhance the understanding of energy transfer in biological systems such as the nervous system, which is responsible for coordinating actions and rapid communication within the body. This system, also known as the neuronal system, utilizes synapses to transmit signals. In this process, neurons release chemical neurotransmitters that can influence the activity of receiving cells.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116538"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Enhanced heat transfer in micropolar fluids with inclined magnetic field and chemical reaction used in solar and geothermal energy systems: A comparative solution with semi-analytical approaches","authors":"P.K. Pattnaik ,&nbsp;Subhajit Panda ,&nbsp;S.R. Mishra ,&nbsp;Rupa Baithalu","doi":"10.1016/j.chaos.2025.116566","DOIUrl":"10.1016/j.chaos.2025.116566","url":null,"abstract":"<div><div>Micropolar fluids have emerged as promising in modern energy systems due to their microstructure and enhanced thermal properties. This present study explores the behavior of free convective polar fluid subjected to an inclined magnetic field. Further, the impact of thermal radiation, internal heat generation, and chemical reaction effect enriches the flow phenomena. The study is vital for numerous real-world applications particularly, in solar thermal collectors, geothermal heat exchangers, electronic cooling systems and energy harvesting devices where the utmost control over heat is critical. The transport model with the governing equations is formulated and suitable dimensionless forms are utilized for the conversion of the non-dimensional form of the model which lead to the involvement of certain characterizing factors. Moreover, to ensure the accuracy, the system is handled through dual approach-employing the semi-analytical Adomian decomposition method (ADM) along-side the numerical approach of fourth-order Runge-Kutta combined with shooting technique. The comprehensive parametric analysis illustrates the impact of several factors involved in the flow phenomena. The results are depicted for the variation of different factors within their range and depicted graphically. Moreover, the important findings are; Assisting flow enhances the velocity distribution near to the lower wall of the channel and the impact is reversed for the opposing case at the upper wall. Thermal and solutal distributions are favourably enhances for the increasing Peclet number but the Nusselt number and Sherwood number retards significantly.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116566"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Theoretical analysis and practical application of multi-patch infectious disease model","authors":"Yingzi He,&nbsp;Linhe Zhu","doi":"10.1016/j.chaos.2025.116519","DOIUrl":"10.1016/j.chaos.2025.116519","url":null,"abstract":"<div><div>Human movement plays a key role in the spread of infectious diseases. However, in real life, mobility behavior often exhibits significant heterogeneity. Therefore, secondary contact is considered, which increases the probability that susceptible populations turn exposed. Based on these considerations, a multi-patch system that incorporates the above factors is proposed. First, the dynamics of this system are analyzed. The system’s well-posedness and the impact of the global basic reproduction number on disease transmission are then established. Additionally, the uniqueness and stability of the endemic equilibrium point is proved when the global basic reproduction number exceeds 1. The relationship between the patch-specific basic reproduction number and the global reproduction number is also established. Next, a local analysis examines the internal dynamics of each patch, and the bifurcation phenomena in the system are demonstrated. Finally, in the numerical simulation section, the impact of the basic reproduction number on disease transmission is analyzed through the control variable method and the partial rank correlation coefficient <span><math><mrow><mo>(</mo><mi>P</mi><mi>R</mi><mi>C</mi><mi>C</mi><mo>)</mo></mrow></math></span> method. The model is fitted to actual Human Immunodeficiency Virus <span><math><mrow><mo>(</mo><mi>H</mi><mi>I</mi><mi>V</mi><mo>)</mo></mrow></math></span> data from Africa, with five countries selected as examples based on the clustering principle. The global basic reproduction number is calculated, and the results indicate that the disease does not outbreak when the global basic reproduction number falls below 1. Furthermore, the seasonal autoregressive integrated moving average <span><math><mrow><mo>(</mo><mi>S</mi><mi>A</mi><mi>R</mi><mi>I</mi><mi>M</mi><mi>A</mi><mo>)</mo></mrow></math></span> method is used for prediction to verify our hypothesis, which provides practical significance to the model.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116519"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"How to maintain long-term euglycemia in a noisy environment: Insight from a stochastic glucose–insulin metabolism model with correlated Gaussian colored noise","authors":"Yu Zhao ,&nbsp;Damaola Buwajier ,&nbsp;Jie Ren","doi":"10.1016/j.chaos.2025.116536","DOIUrl":"10.1016/j.chaos.2025.116536","url":null,"abstract":"<div><div>Understanding the response of glucose homeostasis regulation mechanism to stochastic environmental fluctuation in vivo and in vitro may benefit to gain quantitative insight into the physiological processes of progression of hyperglycemia. In this paper, we propose a stochastic glucose insulin regulation model, which takes into account the correlated Gaussian color noises to describe the environmental internal and external variability. First, the noise-induced state transition from physiological steady state <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> to pathological steady state <span><math><msub><mrow><mi>N</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is observed. Then, by analyzing stochastic stability and the stationary probability density (SDP) of the limiting Itô stochastic system, we theoretically explore the factors that influence the individuals to deviate from the physiological steady state. Additionally, the mean first passage time (MFPT) of the attraction domain of potential well corresponding to the physiological steady state is also calculated to validate the observations. These results demonstrate that the correlation direction of two noises presents different influence pathways of the state transition from <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> to <span><math><msub><mrow><mi>N</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. More precisely, (i) for positive correlation degree, the higher intensity of noises may be more likely to induce the state transitions from <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> to <span><math><msub><mrow><mi>N</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. (ii) Multiplicative and additive noises with negative correlation present a non-monotonic U-shape trend of the probability of state transition, which indicates an antagonistic interaction effect. These findings may provide the theoretical and numerical explanations of the impact of correlated Gaussian color noises on the state transition in the glucose metabolism system and an insight into the mechanism of maintaining long-term euglycemia in a noisy environment.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116536"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Lévy-noise-induced wavefront propagation for bistable systems","authors":"Vladimir V. Semenov","doi":"10.1016/j.chaos.2025.116533","DOIUrl":"10.1016/j.chaos.2025.116533","url":null,"abstract":"<div><div>The influence of the Lévy noise’s properties on wavefront propagation is analysed on examples of ensembles of locally coupled bistable oscillators and a single bistable delayed-feedback oscillator considered as a spatially-extended system evolving in quasi-space. It is shown that additive Lévy noise allows to induce wavefront propagation in ensembles of symmetric bistable oscillators. In such a case, the direction and velocity of the noise-sustained propagation is determined both by the noise’s skewness parameter and by the coupling topology (bidirectional and unidirectional coupling schemes are distinguished). In addition, additive Lévy noise induces wavefront propagation in a bistable delayed-feedback oscillator assumed to be symmetric such that its dynamics replicates the collective behaviour in the ensemble with unidirectional coupling. The wavefront propagation velocity used in this analysis is shown to be varied when adjusting the noise parameters. The revealed effects are demonstrated in the ensembles by using numerical simulation, whereas the numerical exploration of the delayed-feedback oscillator is complemented by physical experiments, showing a good correspondence and disclosing thereby the robustness of the observed phenomena.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116533"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Hafnium trisulfid nanosheets for ultrafast fiber laser","authors":"Weiwei Feng ,&nbsp;Ligang Chen","doi":"10.1016/j.chaos.2025.116581","DOIUrl":"10.1016/j.chaos.2025.116581","url":null,"abstract":"<div><div>As a member of the transition metal chalcogenides family, hafnium trisulfid (HfS₃) has gained considerable interest in the realm of optoelectronics due to the distinctive optical and electronic properties. Notwithstanding this interest, there remains a paucity of comprehensive investigations into the saturable absorption characteristics and ultrafast laser applications of HfS₃. In this study, we employed a liquid exfoliation methodology to synthesize HfS₃ nanosheets, which were subsequently utilized to prepare a HfS₃-microfiber saturable absorber (SA). The SA exhibited a nonsaturable loss (αns) of 33.13 % and a modulation depth (αs) of 10.72 %. The dielectric properties of HfS₃ were studied theoretically. We integrated the fabricated HfS₃-microfiber into an Er-doped fiber (EDF) laser cavity in order to clarify the possible use of HfS₃ as a saturable absorber. Our findings demonstrate that the HfS₃-based SA produced mode-locked laser pulses with a narrow pulse duration of 492 fs and the signal-to-noise ratio (SNR) of 85 dB. Moreover, the fiber laser can operate in a Q-switching state with repetition frequency from 39.157 kHz to 113.93 kHz. Our work demonstrated that HfS₃ nanosheets have outstanding nonlinear properties and play an extremely important role in the field of ultrafast photonics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116581"},"PeriodicalIF":5.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The normalized time-fractional Cahn–Hilliard equation","authors":"Hyun Geun Lee ,&nbsp;Soobin Kwak ,&nbsp;Seokjun Ham ,&nbsp;Youngjin Hwang ,&nbsp;Junseok Kim","doi":"10.1016/j.chaos.2025.116450","DOIUrl":"10.1016/j.chaos.2025.116450","url":null,"abstract":"<div><div>We present a normalized time-fractional Cahn–Hilliard (TFCH) equation by incorporating time-fractional derivatives to model memory effects in phase separation processes. We use a normalized time-fractional derivative, which is a form of the Caputo fractional derivative, to improve the flexibility and physical interpretation of the model. This normalization allows for a more consistent interpretation of fractional orders, which enables fair comparisons across different orders of the derivative. To solve the normalized TFCH equation, we use an efficient computational scheme based on the Fourier spectral method, which ensures high accuracy and computational efficiency. Furthermore, we conduct a thorough investigation into the dynamic behavior of the normalized TFCH equation and focus on how varying the fractional-order time derivative influences the evolution and morphology of phase domains. Numerical simulations demonstrate the versatility and effectiveness of the proposed method in modeling complex phase separation dynamics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116450"},"PeriodicalIF":5.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143937372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Optimized event synchronization method: Identifying synchronous spatiotemporal patterns of extreme events","authors":"Li-Na Wang ,&nbsp;Yu-Wen Huang ,&nbsp;Chen-Rui Zang ,&nbsp;Jia-Qi Cao ,&nbsp;Yao Meng","doi":"10.1016/j.chaos.2025.116563","DOIUrl":"10.1016/j.chaos.2025.116563","url":null,"abstract":"<div><div>Extreme events and their evolution and development have become important topics in various fields such as meteorological science, social science, and neuroscience. Statistical modeling methods are commonly used to study the interdependence between these extreme events. In this paper, we propose an optimized event synchronization (OES) method. By proposing minimum delay, this method optimizes the identification criteria of event synchronization. In cases where events are temporally clustered, the OES method enhances the recognition ability of event synchronization features. The OES method is not affected by event aggregation and performs more stably under different parameters. Based on the synchronous relationship and synchronous extent of high-traffic events in a communication system, a functional communication network is constructed. By analyzing the topological characteristics of this functional communication network, we aim to study the synchronous spatiotemporal patterns of high-traffic events, including the synchronous area, the extent of synchronization impact and the spatial continuity.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116563"},"PeriodicalIF":5.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143937371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Study on traffic flow dynamics of connected autonomous vehicles on road slopes","authors":"Bing-ling Cen ,&nbsp;Yu Xue ,&nbsp;Yan-feng Qiao","doi":"10.1016/j.chaos.2025.116558","DOIUrl":"10.1016/j.chaos.2025.116558","url":null,"abstract":"<div><div>In this paper, we propose a car-following model that captures the driving behavior of connected autonomous vehicles (CAVs) on sloped roads. The model considers the ability of CAVs to receive information from multiple preceding vehicles via communication devices, as well as the time delays associated with perception, computation, and actuation. By leveraging the transformation relationship between microscopic and macroscopic traffic variables, we derive a corresponding macroscopic model. For the initial homogeneous equilibrium state, the linear stability condition under small disturbance is obtained by linear stability analysis, and the global stability condition under large disturbance is derived by wave front expansion method. Our findings indicate that increasing the upslope angle enhances traffic flow stability, whereas increasing the downslope angle reduces it. Furthermore, incorporating connected autonomous vehicles mitigates both linear and global instability. For non-uniform traffic flow, we perform a Hopf bifurcation analysis near the equilibrium point. Numerical simulations verify the effects of slope angle and connected autonomous driving on traffic stability. Finally, we present a phase diagram of the Hopf bifurcation and classify its types using MatCont software.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116558"},"PeriodicalIF":5.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143937373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}